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101031714 = 232717101467
BaseRepresentation
bin1100000010110…
…01111100100010
321001002221110100
412001121330202
5201331003324
614005243230
72334520050
oct601317442
9231087410
10101031714
1152036693
1229a03516
1317c152a4
14d5bd1d0
158d0a4c9
hex6059f22

101031714 has 96 divisors (see below), whose sum is σ = 268085376. Its totient is φ = 26841600.

The previous prime is 101031673. The next prime is 101031751. The reversal of 101031714 is 417130101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216109 + ... + 216575.

It is an arithmetic number, because the mean of its divisors is an integer number (2792556).

Almost surely, 2101031714 is an apocalyptic number.

101031714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101031714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134042688).

101031714 is an abundant number, since it is smaller than the sum of its proper divisors (167053662).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101031714 is a wasteful number, since it uses less digits than its factorization.

101031714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 101031714 is about 10051.4533277532. The cubic root of 101031714 is about 465.7496890456.

Adding to 101031714 its reverse (417130101), we get a palindrome (518161815).

It can be divided in two parts, 1010317 and 14, that added together give a triangular number (1010331 = T1421).

The spelling of 101031714 in words is "one hundred one million, thirty-one thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 101 102 119 126 153 202 238 303 306 357 467 606 707 714 909 934 1071 1401 1414 1717 1818 2121 2142 2802 3269 3434 4203 4242 5151 6363 6538 7939 8406 9807 10302 12019 12726 15453 15878 19614 23817 24038 29421 30906 36057 47167 47634 55573 58842 71451 72114 94334 108171 111146 141501 142902 166719 216342 283002 330169 333438 424503 500157 660338 801839 849006 990507 1000314 1603678 1981014 2405517 2971521 4811034 5612873 5943042 7216551 11225746 14433102 16838619 33677238 50515857 101031714